Question

Create a representation of 8.635 with base ten blocks.

Answer 1

To represent the decimal number 8.635 with base ten blocks, we can break it down into its whole number and decimal parts:

1. **Whole Number Part (8)**:
- Use **8 unit blocks** (1x1 cubes) to represent the whole number 8.

2. **Decimal Part (0.635)**:
- The decimal part is 0.635, which can be further broken down into:
- **0.600** (representing the tenths)
- **0.030** (representing the hundredths)
- **0.005** (representing the thousandths)

For base ten blocks:
- The **0.600 (or 6 tenths)** can be represented by:
- **6 rods** (each rod represents 0.10 or 1 ten)
- The **0.030 (or 3 hundredths)** can be represented by:
- **3 flat squares** (each flat represents 0.01 or 1 hundredth)
- The **0.005 (or 5 thousandths)** can be represented by:
- **5 small unit blocks** (each unit block represents 0.001 or 1 thousandth)

### Summary Representation
- **8 unit blocks** for the whole number.
- **6 rods** for the tenths (0.6).
- **3 flat squares** for the hundredths (0.03).
- **5 unit blocks** for the thousandths (0.005).

### Visual Representation
This can be visualized as follows:
```
Whole Number (8):
██████████ (8 unit blocks)

Decimal Part (0.635):
₩₩₩₩₩₩ (6 rods - tenths)
□ □ □ (3 flat squares - hundredths)
● ● ● ● ● (5 unit blocks - thousandths)
```

The combination of these base ten blocks accurately represents the decimal number 8.635.